I was spun in Intro and not spun in Cave. In my opinion, it does not make a difference.
1. If the instructor spinning you does not also move and rotate, the location of the instructor becomes a reference point for you.
2. The rock you are led to is also a reference point and once you do a short 360 degree search to locate it, the spinning is a moot issue.
3. If there is any flow at all in the cave, it won't matter whether you are spun or not, assuming you have even minimal SA.
4. Same thing in a small passage - even with no flow, spun or not, it won't take long to figure out the axis of the tunnel and then execute a plan to search perpendicular to that axis.
In both Intro and Cave classes I asked the instrutor (different instructors) whether they wanted me to to assume I had no clue where the line was and start a methodical search based on that assumption, or just start the search straight towards where I felt the line was at. In both cases they said start in the direction you think the line is in and in all of the drills I found the line in a matter of a few minutes.
Oddly enough, one thing I keep hearing from divers recounting their experience is that the difficult part is often doing a good tie off in the dark, and in that regard building experience diving with a blacked out mask, doing tie offs, etc before you ever show up for class would help a lot.
I think what is often lost in the concept of doing a lost line drill is consideration of waht is the real intent.
If the intent is to sharpen a student's SA and reward them for good SA, then you want to do it in an area with lots of cues, and debriefthe students on what cues they used and observed and point out ones they may have missed or failed to use. Then progress to drills in areas with fewer cues. That is actual instruction rather than just chekcing off demonstated skills. Spin or not spin does not matter if the diver's SA is good.
If the intent is to impress upon the diver the potential danger of being lost off the line, then you need to do the drill in a large room with very few environmental cues (no flow, few features or a very chaotic topography with misleading features, line buried in sand, multiple lines with the potential to find the wrong one, etc and, a lack of convenient tie offs.)
Both have their place and in both cases, spinning should not make a difference. If it does, I'd lean toward the view that maybe this diver lacks the neccesary SA to dive safely.